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5426410000 = 24541149331
BaseRepresentation
bin1010000110111000…
…00111001000010000
3112000011202012010011
411003130013020100
542103130110000
62254242444304
7251320503214
oct50334071020
915004665104
105426410000
112335081170
121075363694
136862b90bb
1439697c944
1521b5d52ba
hex143707210

5426410000 has 100 divisors (see below), whose sum is σ = 14332524624. Its totient is φ = 1973200000.

The previous prime is 5426409977. The next prime is 5426410027. The reversal of 5426410000 is 146245.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 85335 + ... + 134665.

Almost surely, 25426410000 is an apocalyptic number.

5426410000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5426410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7166262312).

5426410000 is an abundant number, since it is smaller than the sum of its proper divisors (8906114624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5426410000 is a wasteful number, since it uses less digits than its factorization.

5426410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49370 (or 49349 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 5426410000 is about 73664.1703951114. The cubic root of 5426410000 is about 1757.2661153853.

Adding to 5426410000 its reverse (146245), we get a palindrome (5426556245).

The spelling of 5426410000 in words is "five billion, four hundred twenty-six million, four hundred ten thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 27500 49331 55000 98662 110000 197324 246655 394648 493310 542641 789296 986620 1085282 1233275 1973240 2170564 2466550 2713205 3946480 4341128 4933100 5426410 6166375 8682256 9866200 10852820 12332750 13566025 19732400 21705640 24665500 27132050 30831875 43411280 49331000 54264100 61663750 67830125 98662000 108528200 123327500 135660250 217056400 246655000 271320500 339150625 493310000 542641000 678301250 1085282000 1356602500 2713205000 5426410000